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Finding the Fourth Proportional to 260,472.40, 390,631.80 and 102,648.40

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Solution

The fourth proportional to 260,472.40, 390,631.80 and 102,648.40 is: 153,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,472.40 : 390,631.80 = 102,648.40 : x
  2. Step 2: Convert to fraction form
    260,472.40/390,631.80 = 102,648.40/x
  3. Step 3: Cross multiply
    260,472.40x = 390,631.80 × 102,648.40
  4. Step 4: Simplify right side
    260,472.40x = 40,097,729,259.12
  5. Step 5: Solve for x
    x = 40,097,729,259.12/260,472.40
  6. Step 6: Final answer
    x = 153,942.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.